مقایسهٔ روش‌ها

	محاسبات بیزی تقریبی	مونت‌کارلوی ترتیبی
حوزه	شبیه‌سازی	بیزی
خانواده	Process / pipeline	Bayesian methods
سال پیدایش	2002	1993 (particle filter); 2006 (SMC samplers)
پدیدآور	—	Gordon, Salmond & Smith (particle filter); Del Moral, Doucet & Jasra (SMC samplers)
نوع	Simulation-based Bayesian inference	Sequential Bayesian computation
منبع بنیادین	Beaumont, M.A., Zhang, W. & Balding, D.J. (2002). Approximate Bayesian Computation in Population Genetics. Genetics, 162(4), 2025-2035.	Gordon, N. J., Salmond, D. J., & Smith, A. F. M. (1993). Novel approach to nonlinear/non-Gaussian Bayesian state estimation. IEE Proceedings F - Radar and Signal Processing, 140(2), 107–113.
نام‌های دیگر	ABC, likelihood-free inference, simulation-based inference, Yaklaşık Bayesçi Hesaplama (ABC)	SMC, particle filter, sequential importance resampling, SMC sampler
مرتبط	5	6
خلاصه	Approximate Bayesian Computation (ABC) is a family of simulation-based inference methods that estimate posterior distributions without requiring an analytically tractable likelihood function. Introduced by Beaumont, Zhang and Balding (2002) in the context of population genetics, ABC replaced the intractable likelihood with repeated model simulation and a comparison of summary statistics between simulated and observed data.	Sequential Monte Carlo (SMC) is a family of simulation-based algorithms that approximate evolving probability distributions by propagating and reweighting a cloud of weighted random draws called particles. It handles nonlinear, non-Gaussian models and streams of data naturally, making it the method of choice for real-time state estimation and posterior approximation over complex distributions.